Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
532 conjugacy classes of subgroups; only the 200 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 200 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. #91340 | C2 | semidirect |
| 6. #91333 | C2 | semidirect |
| 10. C2×Dic30 | C4 | semidirect |
| 129. C3×C5 | #519 | semidirect |
| 154. C5 | #5516 | semidirect |
| 163. C3 | #65850 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic30 | 2 |
| C5×#926 | 2 |
| C3×#4072 | 2 |
| #91532 | 2 |
| #91340 | 2 |
| #91333 | 2 |
| #65850 | 3 |
| #5516 | 5 |